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Finding the Fourth Proportional to 70,482, 97,256.22 and 38,642.52

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Solution

The fourth proportional to 70,482, 97,256.22 and 38,642.52 is: 53,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,482 : 97,256.22 = 38,642.52 : x
  2. Step 2: Convert to fraction form
    70,482/97,256.22 = 38,642.52/x
  3. Step 3: Cross multiply
    70,482x = 97,256.22 × 38,642.52
  4. Step 4: Simplify right side
    70,482x = 3,758,225,426.47
  5. Step 5: Solve for x
    x = 3,758,225,426.47/70,482
  6. Step 6: Final answer
    x = 53,321.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.